The vortex phase transition in twinned YBa_2Cu_3O_<7-δ> single crystals is studied by measuring the resistivity under conditions in which the correlated disorders compete with point disorders. When a magnetic field is applied exactly parallel to the twin planes, we find a kink in the obtained liquid-to-glass transition line near 80 kOe and a nonuniversality in critical behavior. By introducing a matchinglike effect for planar defects, we show that both anomalous phenomena can be explained by the scenario that a mixture of Bose glass and vortex glass appears above the magnetic field of the kink, and Bose glass appears below it.